There are restrictions on walk-ons. For instance, I'm pretty sure if they've been recruited by a school, they can't walk-on at that school for 1 calendar year...
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Please explain the concept of a preferred walkon. A preferred walkon is normally a player who was recruited but the school decided not to offer a scholarship to.
Has nothing to do with the number of players you have. I also have a feeling that the NCAA is going to do everything in their power to block UConn from adding a player of Drummond's caliber, whether a walk-on or not, since the intent of the scholarship reductions was to be a punishment, not something that's just a slight inconvenience that can be easily resolved.
For openers it has been more than a slight inconvenience. A slight inconvenience is when the NCAA decides not to pursue a story about a former player's HS academic career being almost entirely falsified (cough, cough, Bledsoe, cough, cough).
Additionally, if the NCAA is going to step in to prevent a school from adding a walkon, they are overstepping their bounds at a level beyond logical belief. This idea is a fantasy of some delusional UK fans who believe that the money they forked over for Calipari (and the money they funnelled to the correct handlers) entitles them to a title that in reality they have to earn.